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Thermal transport in classical fluids is analyzed in terms of a Higher-Order Generalized Hydrodynamics (or Mesoscopic Hydro-Thermodynamics), that is, depending on the evolution of the energy density and its fluxes of all orders. It is…

Statistical Mechanics · Physics 2020-04-16 Cloves G. Rodrigues , Carlos A. B. Silva , Jose Galvao Ramos , Roberto Luzzi

We find the charge and heat currents caused by a temperature difference applied to a superconducting point contact or to a quantum point contact between a superconducting and normal conductors. The results are formulated in terms of the…

Mesoscale and Nanoscale Physics · Physics 2019-04-24 Sergey S. Pershoguba , Leonid I. Glazman

The phenomenon of corrugated surfaces is a known technical problem of tribological systems; considerable work has been published in the past on the aspect of rail corrugation of railway systems. Less known is a similar phenomenon observed…

Materials Science · Physics 2018-01-15 Valentin L. Popov , Andreas Fischersworring-Bunk

For the Fermi gas filling the space inside a cubic cavity of a fixed volume, at arbitrary temperatures and number of particles, the thermodynamic characteristics are calculated, namely: entropy, thermodynamic potential, energy, pressure,…

Quantum Physics · Physics 2024-08-08 Yu. M. Poluektov , A. A. Soroka

In this study, we performed highly resolved large-eddy simulations (LES) to investigate the influence of variable properties on the forced turbulent convection in a channel. The constant heat flux boundary condition permits wall temperature…

Fluid Dynamics · Physics 2023-01-11 Himani Garg , Lei Wang

In this paper thermal conductivity and thermal diffusivity of a two layer system is examined from the theoretical point of view. We use the one dimensional heat diffusion equation with the appropriate solution in each layer and boundary…

Condensed Matter · Physics 2009-10-28 G. Gonzalez de la Cruz , Yu. G. Gurevich

Transport of a Brownian particle moving in a periodic potential is investigated in the presence of symmetric unbiased external force. The viscous medium is alternately in contact with the two heat reservoirs. We present the analytical…

Biological Physics · Physics 2010-03-22 Bao-quan Ai , Liqiu Wang , Lianggang Liu

For the system with inhomogeneous distribution of macroscopic parameters we obtain thermodynamic relation which depends on the spatial point (coordinate). In our approach, to obtain such a relation we use the basic ideas of the method of…

Statistical Mechanics · Physics 2025-09-24 A. P. Rebesh , B. I. Lev , A. G. Zagorodny

We describe a finite inhomogeneous three dimensional system of classical particles which interact through short and (or) long range interactions by means of a simple analytic spin model. The thermodynamic properties of the system are worked…

Nuclear Theory · Physics 2009-10-31 J. Richert , P. Wagner , M. Henkel , J. M. Carmona

Unsteady heat transfer in a harmonic chain is analyzed. Two types of thermal perturbations are considered: 1) initial instant temperature perturbation, 2) external heat supply. Closed equations describing the heat propagation are obtained…

Statistical Mechanics · Physics 2017-09-26 Anton M. Krivtsov

A theoretical study is presented in this paper to investigate the conjugate heat transfer across a vertical finite wall separating two forced and free convection flows at different temperatures. The heat conduction in the wall is in the…

Fluid Dynamics · Physics 2015-09-15 Jian-Jun Shu , I. Pop

We propose a stochastic order parameter equation for describing phase coexistence in steady heat conduction near equilibrium. By analyzing the stochastic dynamics with a non-equilibrium adiabatic boundary condition, where total energy is…

Statistical Mechanics · Physics 2021-06-23 Shin-ichi Sasa , Naoko Nakagawa , Masato Itami , Yohei Nakayama

In this review paper we aim at illustrating recent achievements in anomalous heat diffusion, while highlighting open problems and research perspectives. We briefly recall the main features of the phenomenon for low-dimensional classical…

Statistical Mechanics · Physics 2020-09-18 Giuliano Benenti , Stefano Lepri , Roberto Livi

In dilute gases, transport properties such as the thermal conductivity, self-diffusion, and viscosity are significantly affected by interatomic collisions, which are determined by the potential form. This study explores these transport…

Statistical Mechanics · Physics 2025-10-17 Alejandro Alés , Juan Ignacio Cerato , Leandro Marchioni , Miguel Hoyuelos

The stationary thermal state and propagation of a normal zone in a long superconducting film on a wide substrate are analyzed analytically. Expressions describing voltage-current characteristics and temperature-current dependence of the…

Superconductivity · Physics 2015-06-25 V. Sokolovsky , V. Meerovich

We study a system of interacting particles in a periodically moving external potential, within the simplest possible description of paradigmatic symmetric exclusion process on a ring. The model describes diffusion of hardcore particles…

Statistical Mechanics · Physics 2014-04-17 Rakesh Chatterjee , Sakuntala Chatterjee , Punyabrata Pradhan , S. S. Manna

We present the full thermodynamics of a fluid confined by an arbitrary external potential based on the virial expansion of the grand potential. The fluid may be classical or quantum and it is assumed that interatomic interactions are…

Statistical Mechanics · Physics 2008-08-13 Nadia Sandoval-Figueroa , Víctor Romero-Rochín

We investigate properties of turbulence and turbulent transport of non-inertial particles described in terms of turbulent thermal diffusion in strongly inhomogeneous and anisotropic convection forced by two similar turbulence generators…

Fluid Dynamics · Physics 2025-12-17 E. Zarbib , E. Elmakies , O. Shildkrot , N. Kleeorin , A. Levy , I. Rogachevskii

In this Colloquium recent advances in the field of quantum heat transport are reviewed. This topic has been investigated theoretically for several decades, but only during the past twenty years have experiments on various mesoscopic systems…

Mesoscale and Nanoscale Physics · Physics 2021-10-20 Jukka P. Pekola , Bayan Karimi

Using the contemporary thermodynamic equations of elastic solids leads to contradictions with the fundamental statements of thermodynamics. Two examples are presented to expose the inconsistencies. In example one the internal energy between…

General Physics · Physics 2007-05-23 Jozsef Garai , Alexandre Laugier